Cremona's table of elliptic curves

14400 = 2⁶ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Class	14400dp	Isogeny class
Conductor	14400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	44789760000000 = 218 · 37 · 57	Discriminant
Eigenvalues	2- 3- 5+  0  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1152300,476098000]	[a1,a2,a3,a4,a6]
Generators	[2645:126225:1]	Generators of the group modulo torsion
j	56667352321/15	j-invariant
L	5.1520216213782	L(r)(E,1)/r!
Ω	0.51142792026395	Real period
R	5.0368990597142	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14400y3 3600bf4 4800cd3 2880bd4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400dp4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	0	4	-2	2	4	0	-2	0	-10	-10	-4	-8	10	4	2	-12	-8	-10	0	12	6	-2

---

Quadratic twists for elliptic curve 14400dp4

-4	8	-3	5
14400y3	3600bf4	4800cd3	2880bd4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations